Suggestions for Follow-up Actions (Trial Version)
KS3-NA13-1: Students can plot graphs of linear equations in 2 unknowns
KS3-NA13-2: Students can demonstrate recognition that graphs of equations of the form ax+by+c=0 are straight lines
KS3-NA13-3: Students can determine whether a point lies on a straight line with a given equation
Possible problems in students' learning (for reference only)
- Students cannot find correctly values of x and y satisfying the equation.
- Students draw a line segment instead of a line as the graph of an equation.
- Students do not recognize that graphs of equations of the form ax + by + c = 0 are straight lines.
- Students cannot substitute correctly the coordinates of a point into the equation.
Suggestions for Follow-up Actions(Trial Version)
| Name | Emphasis | Description | Problem addressed (see above) | Suggested duration (minutes) | Available for self - learning? |
|---|---|---|---|---|---|
Introduce graphing equations
 |
Recognize the graph of an equation in two unknowns in the coordinate plane | With the help of the dynamic java applet, students attempt the worksheet and recognize that an equation in two unknowns describe a set of points which can be graphed in the coordinate plane, and the equation could be used to determine whether a point lies on its graph. | 
  |
35 |  |
Plotting graphs
 |
Rewrite the equation in the form y = mx + k and locate points with integral coordinates to facilitate plotting | In the worksheet, students are asked to express the equations in the form y = mx + c and then try to locate the points with integral coordinates in order to draw the graph. Teacher can use the dynamic java applet to draw the graphs in the worksheet. |
|
35 | |
Linearity of Equations
 |
Recognize that graphs of equations in the form ax + by + c = 0 are straight lines | In the worksheet, students are asked to decide whether the graphs of the equations in the worksheet are straight lines by first express y in terms of x for each equation. Teacher then use the dynamic java applet to check answers with them, and summarize the characteristics of the equations whose graphs are straight lines. |
 |
35 | |
* The list of possible problems is for teachers' reference only and is not meant to be exhaustive or prescriptive. Teachers can always adapt the activities/materials in order to cater for students' needs.
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